Finding the Third Proportional to 137,184 and 299,505
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Solution
The third proportional to 137,184 and 299,505 is: 653,889.99
Step by Step Solution
- Step 1: Write the proportion equation
137,184 : 299,505 = 299,505 : x - Step 2: Convert to fraction form
137,184/299,505 = 299,505/x - Step 3: Cross multiply
137,184x = 299,505 × 299,505 - Step 4: Simplify right side
137,184x = 89,703,245,025 - Step 5: Solve for x
x = 89,703,245,025/137,184 - Step 6: Final answer
x = 653,889.99
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.